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Finding the Fourth Proportional to 301,085.44, 415,467.90 and 173,802.04

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Solution

The fourth proportional to 301,085.44, 415,467.90 and 173,802.04 is: 239,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,085.44 : 415,467.90 = 173,802.04 : x
  2. Step 2: Convert to fraction form
    301,085.44/415,467.90 = 173,802.04/x
  3. Step 3: Cross multiply
    301,085.44x = 415,467.90 × 173,802.04
  4. Step 4: Simplify right side
    301,085.44x = 72,209,167,535.85
  5. Step 5: Solve for x
    x = 72,209,167,535.85/301,085.44
  6. Step 6: Final answer
    x = 239,829.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.